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Finding the Third Proportional to 273,970,613,417 and 419,144,362,082

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Solution

The third proportional to 273,970,613,417 and 419,144,362,082 is: 641,243,942,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,970,613,417 : 419,144,362,082 = 419,144,362,082 : x
  2. Step 2: Convert to fraction form
    273,970,613,417/419,144,362,082 = 419,144,362,082/x
  3. Step 3: Cross multiply
    273,970,613,417x = 419,144,362,082 × 419,144,362,082
  4. Step 4: Simplify right side
    273,970,613,417x = 175,681,996,265,126,709,166,080
  5. Step 5: Solve for x
    x = 175,681,996,265,126,709,166,080/273,970,613,417
  6. Step 6: Final answer
    x = 641,243,942,457.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.